Free Formulation Of Inequalities From Word Problems In Linear Programming Lesson Plan for 11th Grade Students

Topic:Formulation of inequalities from word problems in linear programming

Objectives & Outcomes

• Understand the procedure for formulating inequalities from word problems in linear programming
• Be able to solve linear programming problems by formulating inequalities from word problems

Content

• Word problems in linear programming
• Formulation of inequalities from word problems in linear programming

Materials

• Examples of word problems in linear programming
• Linear programming problem solver software (optional)

Warm-up

• Review the basics of linear programming.
• Ask the students to solve a simple linear programming problem as a group.
• Ask the students to formulate inequalities from the given word problems.

Direct Instruction

• Introduce the concept of inequalities in linear programming.
• Explain that inequalities are used to determine the range of possible solutions in a linear programming problem.
• Show examples of inequalities in linear programming.
• Use the graphing tool to create the inequalities for the given word problems.

Guided Practice

• Give students a set of linear programming problems accompanied by word problems.
• Have students use the graphing tool to create the inequalities for the given word problems.
• Coach students as needed.

Independent Practice

• Have students work in pairs to solve a set of linear programming problems accompanied by word problems.
• Have students create the inequalities for the given word problems using the graphing tool.
• Have students share their solutions with the class and discuss how they formed their inequalities.

Closure

• Review the steps for creating inequalities from word problems in linear programming.
• Ask students to share any challenges they faced and how they were able to overcome them.
• Encourage students to ask for help if they are struggling with any aspect of the lesson.

Assessment

• Observe students during the group activity and independent practice to assess their understanding of the steps for creating inequalities from word problems in linear programming.
• Collect and review the inequalities created during the independent practice activity to assess students' understanding of how to apply the steps in solving word problems.